An individual is planning a party for their birthday. Last year the individual invited 27 people and bought 75 hamburgers to coo
k for the party, and there were 6 left over. This year, they are planning on inviting 24 people and bought 48 hamburgers. Should the individual have hamburgers left over this year if they plan on everyone eating 2 hamburgers each?
Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as
